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а) Пусть 4 окружности на плоскости касаются друг друга по циклу (внешним образом). Доказать, что точки касания лежат на одной окружности.

б) То же не на плоскости, а на сфере.

в) Вывести отсюда предыдущую задачу.

// по мотивам обсуждения в комментариях



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а) Пусть 4 окружности на плоскости касаются друг друга по циклу (внешним образом). Доказать, что точки касания лежат на одной окружности.

б) То же не на плоскости, а на сфере.

в) Вывести отсюда предыдущую задачу.

// по мотивам обсуждения в комментариях

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